conference · 2014

An Adaptive Step-Size Least Mean Square Algorithm for Electric Power Systems Frequency Estimation in protective relays

Gustavo Marchesan, Arlindo L. Oliveira, Ghendy Cardoso, Adriano Peres de Morais, L. Mariotto · 2 citations

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Summary AI-generated

TL;DR
This paper introduces a new adaptive step-size Least Mean Square (LMS) algorithm designed to estimate frequencies in electric power systems.
Problem
Not specified in the abstract.
Method
The approach uses a novel step adaptation method for the LMS algorithm, employing larger step sizes during transients for fast convergence and smaller step sizes in steady-state conditions for high precision.
Results
Performance was evaluated using indicators such as mean square error and convergence time across various synthesized and simulated signals affected by noise, harmonics, and voltage and frequency variations.
Contributions
Not specified in the abstract.
Limitations
Not specified in the abstract.
Takeaways
The proposed algorithm is simple, computationally efficient, and capable of signal correction to achieve the desired mean square error.
Applications
Electric power systems frequency estimation in protective relays.
Topics
Adaptive algorithms, Least Mean Square (LMS), frequency estimation, electric power systems, protective relays
For industry
Electric power and energy sector
Why it matters
Not specified in the abstract.

Abstract

This paper proposes a new adaptive step-size Least Mean Square Algorithm (LMS) for electric power systems frequency estimation. The algorithm is simple, computationally efficient, and makes the correction of the signal that enables to reach the mean square error. The proposed algorithm has a new kind of step adaption for LMS algorithm that provides high precision in steady state condition using small values of steps, and small time convergence using bigger values in transients. The method's performance was evaluated by indicator such as mean square error and convergence time. The tests were accomplished considering many synthesized and simulated signals with noise, harmonics, voltage and frequency variations.

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